Fractional formalism to DNA chain and impact of the fractional order on breather dynamics

DOI10.1063/1.4972405zbMath1378.92051OpenAlexW2561856523WikidataQ46764735 ScholiaQ46764735MaRDI QIDQ4601400

Alain Mvogo, Timoléon Créprin Kofané

Publication date: 15 January 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4972405

zbMATH Keywords

fractional perturbationRiemann-Liouville time derivativepairing enthalpies

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Protein sequences, DNA sequences (92D20)

Related Items (6)

Demodulated standing solitary wave and DNA-RNA transcription ⋮ Discrete breathers dynamic in a model for DNA chain with a finite stacking enthalpy ⋮ Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule ⋮ Fractional nonlinear dynamics of DNA breathing ⋮ A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator ⋮ Base pairs opening and bubble transport in damped DNA dynamics with transport memory effects

Uses Software

• Matlab
• ma2dfc
• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional Order Chaotic Systems
• Coupled fractional nonlinear differential equations and exact Jacobian elliptic solutions for exciton-phonon dynamics
• An effective numerical method and its utilization to solution of fractional models used in bioengineering applications
• Fractional dynamics in DNA
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Nonlinear Schrödinger equation and DNA dynamics
• The Hamilton formalism with fractional derivatives
• No violation of the Leibniz rule. No fractional derivative
• Some applications of fractional calculus in engineering
• Thermodynamics of a nonlinear model for DNA denaturation
• Formulation of Euler-Lagrange equations for fractional variational problems
• Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
• Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order
• Modelling DNA at the mesoscale: a challenge for nonlinear science?
• Nonlinear dynamics and statistical physics of DNA
• Helicoidal Peyrard–Bishop Model of DNA Dynamics*

This page was built for publication: Fractional formalism to DNA chain and impact of the fractional order on breather dynamics